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Finding the Fourth Proportional to 21,116.50, 31,674.14 and 5,321.50

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Solution

The fourth proportional to 21,116.50, 31,674.14 and 5,321.50 is: 7,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,116.50 : 31,674.14 = 5,321.50 : x
  2. Step 2: Convert to fraction form
    21,116.50/31,674.14 = 5,321.50/x
  3. Step 3: Cross multiply
    21,116.50x = 31,674.14 × 5,321.50
  4. Step 4: Simplify right side
    21,116.50x = 168,553,850.17
  5. Step 5: Solve for x
    x = 168,553,850.17/21,116.50
  6. Step 6: Final answer
    x = 7,982.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.